Why are the following numbers composite? Expl | vedclass

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(B) composite number is a positive integer that has at least one divisor other than $1$ and itself.Given expression: $7 	imes 6 	imes 5 	imes 4 	i

Vedclass · Accepted Answer

Because it has more than two factors.

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(B) composite number is a positive integer that has at least one divisor other than $1$ and itself.Given expression: $7 	imes 6 	imes 5 	imes 4 	imes 3 	imes 2 	imes 1 + 5$.We can factor out $5$ from the expression:$= 5 	imes (7 	imes 6 	imes 4 	imes 3 	imes 2 	imes 1 + 1)$$= 5 	imes (1008 + 1)$$= 5 	imes 1009$Since the number can be expressed as a product of two factors ($5$ and $1009$),both of which are greater than $1$,it has factors other than $1$ and itself.Therefore,the given number is a composite number.

Why are the following numbers composite? Explain: $7 \times 6 \times 5 \times 4 \times 3 \times 2 \times 1 + 5$

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